7th Grade Math Worksheets

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The following worksheets illustrate the range of difficulty expected by the following Common Core State standards:

7.RP Seventh Grade Ratios and Proportional Relationships Worksheet

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QuestionCommon Core Standard #CCSS Math Excerpts
17.RP.1...compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units...
27.RP.1...compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units...
37.RP.2a...decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin...
47.RP.2b...identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships...
57.RP.2b...identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships...
67.RP.2c...represent proportional relationships by equations...
77.RP.3...use proportional relationships to solve multistep ratio and percent problems...
87.RP.2d...explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0,0) and (1,r) where r is the unit rate...






7.NS Seventh Grade Number System Worksheet

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QuestionCommon Core Standard #CCSS Math Excerpt
17.NS.1b...understand p+q as the number located a distance q from p, in the positive or negative direction depending on whether q is positive or negative...
27.NS.1c...understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q)...
37.NS.1d...apply properties of operations as strategies to add and subtract rational numbers...
47.NS.2d...convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats...
57.NS.2d...convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats...
67.NS.3...solve real-world and mathematical problems involving the four operations with rational numbers...
77.NS.3...solve real-world and mathematical problems involving the four operations with rational numbers...
87.NS.2a...understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property...



7.EE Seventh Grade Expressions and Equations Worksheet

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QuestionCommon Core Standard #Common Core Math Excerpt
17.EE.1...apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients...
27.EE.1...apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients...
37.EE.2...understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related...
47.EE.3...solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals)...
57.EE.3...solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals)...
67.EE.4a...solve word problems leading to equations of the form px+q=r and p(x+q)=r , where p , q , and r are specific rational numbers...
77.EE.4a...solve word problems leading to equations of the form px+q=r and p(x+q)=r , where p , q , and r are specific rational numbers...
87.EE.4a...solve word problems leading to equations of the form px+q=r and p(x+q)=r , where p , q , and r are specific rational numbers...
97.EE.4b...solve word problems leading to inequalities of the form px+q > r or px+q < r , where p , q , and r are specific rational numbers...
107.EE.4b...solve word problems leading to inequalities of the form px+q > r or px+q < r , where p , q , and r are specific rational numbers...



7.SP Seventh Grade Statistics and Probability Worksheet

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QuestionCommon Core Standard #CCSS Math Excerpt
17.SP.1...understand that statistics can be used to gain information about a population by examining a sample of the population...
27.SP.6...approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability...
37.SP.7a...develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events...
47.SP.8c...design and use a simulation to generate frequencies for compound events...
57.SP.7b...develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process...



7.G Seventh Grade Geometry Worksheet

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QuestionCommon Core Standard #CCSS Math Excerpt/td>
17.G.1...solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.../td>
27.G.1...solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.../td>
37.G.1...solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.../td>
47.G.3...describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.../td>
57.G.4...know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.../td>
67.G.5...use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.../td>
77.G.6...solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.../td>
87.G.6...solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.../td>
97.G.6...solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.../td>